Finding the Third Proportional to 947.81 and 2,279.53

Step by Step Solution

1. Step 1: Write the proportion equation
   947.81 : 2,279.53 = 2,279.53 : x
2. Step 2: Convert to fraction form
   947.81/2,279.53 = 2,279.53/x
3. Step 3: Cross multiply
   947.81x = 2,279.53 × 2,279.53
4. Step 4: Simplify right side
   947.81x = 5,196,262.72
5. Step 5: Solve for x
   x = 5,196,262.72/947.81
6. Step 6: Final answer
   x = 5,482.37